Relativistic Equation of State of Nuclear Matter for Supernovae

Physics – Nuclear Physics

Scientific paper

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Scientific paper

We start with the foundation of the relativistic description of nuclei by showing results of the relativistic Bruckner-Hartree-Fock (RBHF) theory in nuclear matter. We demonstrate that the relativistic effect on the binding energy gives a strongly density dependent repulsion. This effect brings the saturation property close to the "experimental" data. Then we model the many body effect by taking the relativistic mean field (RMF) approximation and fixing the model lagrangian from the existing experimental data. The resulting binding energy property resembles with that of RBHF. We apply the RMF theory to unstable nuclei up to the drip lines. We calculate the equation of state of nuclear matter by considering the non-uniform nucleon distributions below a certain matter density in the large density and temperature regions for supernova simulations. We calculate neutron star properties and make simulations of supernovae. We find small mass proto-stars succeeds to explode by the prompt process, while large mass stars need another mechanism as the neutrino process for explosion.

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